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Finding the Third Proportional to 72,471.38 and 105,558.19

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Solution

The third proportional to 72,471.38 and 105,558.19 is: 153,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,471.38 : 105,558.19 = 105,558.19 : x
  2. Step 2: Convert to fraction form
    72,471.38/105,558.19 = 105,558.19/x
  3. Step 3: Cross multiply
    72,471.38x = 105,558.19 × 105,558.19
  4. Step 4: Simplify right side
    72,471.38x = 11,142,530,948.29
  5. Step 5: Solve for x
    x = 11,142,530,948.29/72,471.38
  6. Step 6: Final answer
    x = 153,750.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.